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We present an extension of the first proof for the unconditional security of the BB84 quantum key distribution protocol which was given by Mayers. We remove the constraint that a perfect BB84 quantum source is required and the proof given…

Quantum Physics · Physics 2007-05-23 H. J. Hupkes

Owing to its fundamental principles, quantum theory holds the promise to enhance the security of modern cryptography, from message encryption to anonymous communication, digital signatures, online banking, leader election, one-time…

Quantum Physics · Physics 2025-12-22 Mathieu Bozzio , Claude Crépeau , Petros Wallden , Philip Walther

Decoy-state quantum key distribution (QKD) is a standard technique in current quantum cryptographic implementations. Unfortunately, existing experiments have two important drawbacks: the state preparation is assumed to be perfect without…

Quantum Physics · Physics 2015-09-09 Feihu Xu , Kejin Wei , Shihan Sajeed , Sarah Kaiser , Shihai Sun , Zhiyuan Tang , Li Qian , Vadim Makarov , Hoi-Kwong Lo

Basic techniques to prove the unconditional security of quantum cryptography are described. They are applied to a quantum key distribution protocol proposed by Bennett and Brassard in 1984. The proof considers a practical variation on the…

Quantum Physics · Physics 2007-05-23 Dominic Mayers

The need for secrecy and security is essential in communication. Secret sharing is a conventional protocol to distribute a secret message to a group of parties, who cannot access it individually but need to cooperate in order to decode it.…

Quantum Physics · Physics 2017-01-16 Ioannis Kogias , Yu Xiang , Qiongyi He , Gerardo Adesso

With the emergence of an information society, the idea of protecting sensitive data is steadily gaining importance. Conventional encryption methods may not be sufficient to guarantee data protection in the future. Quantum key distribution…

Quantum Physics · Physics 2016-09-20 Nitin Jain , Birgit Stiller , Imran Khan , Dominique Elser , Christoph Marquardt , Gerd Leuchs

Quantum Key Distribution (QKD) is a technology that ensures secure communication by leveraging the principles of quantum mechanics, such as the no-cloning theorem and quantum uncertainty. This chapter provides an overview of this quantum…

Quantum Physics · Physics 2026-02-27 Sebastian Kish , Josef Pieprzyk , Seyit Camtepe

The unconditional security of a quantum key distribution protocol is often defined in terms of the accessible information, that is, the maximum mutual information between the distributed key S and the outcome of an optimal measurement on…

Quantum Physics · Physics 2011-11-09 Robert Koenig , Renato Renner , Andor Bariska , Ueli Maurer

Quantum Key Distribution (QKD) protocols rely on authenticated classical communication. Typical QKD security proofs are carried out in an idealized setting where authentication is assumed to behave honestly: it never aborts, and all…

Quantum Physics · Physics 2026-01-27 Devashish Tupkary , Shlok Nahar , Ernest Y. -Z. Tan

Several fundamental issues in establishing security in continuous variable quantum key distribution are discussed, in particular on reverse reconciliation and security under heterodyne attack. It appears difficult to derive quantum…

Quantum Physics · Physics 2016-11-11 Horace P. Yuen

Distributed-phase-reference quantum key distribution stands out for its easy implementation with present day technology. Since many years, a full security proof of these schemes in a realistic setting has been elusive. For the first time,…

Quantum Physics · Physics 2013-07-05 Tobias Moroder , Marcos Curty , Charles Ci Wen Lim , Le Phuc Thinh , Hugo Zbinden , Nicolas Gisin

Quantum Key Distribution (QKD) has been attracting researchers that it would provide provable security to distribute secret keys since its birth in 1984. Since 2005, the trace distance between an ideal quantum state and an actually…

Quantum Physics · Physics 2018-07-30 Takehisa Iwakoshi

In theory, quantum key distribution (QKD) offers unconditional security based on the laws of physics. However, as demonstrated in recent quantum hacking theory and experimental papers, detection efficiency loophole can be fatal to the…

Quantum Physics · Physics 2009-01-06 Chi-Hang Fred Fung , Kiyoshi Tamaki , Bing Qi , Hoi-Kwong Lo , Xiongfeng Ma

Key distribution plays a fundamental role in cryptography. Currently, the quantum scheme stands as the only known method for achieving unconditionally secure key distribution. This method has been demonstrated over distances of 508 and 1002…

Quantum Physics · Physics 2024-08-27 Hua-Lei Yin

We prove the security of theoretical quantum key distribution against the most general attacks which can be performed on the channel, by an eavesdropper who has unlimited computation abilities, and the full power allowed by the rules of…

Quantum Physics · Physics 2007-07-16 Eli Biham , Michel Boyer , P. Oscar Boykin , Tal Mor , Vwani Roychowdhury

Quantum key distribution (QKD) promises information-theoretic security based on quantum mechanics, but practical implementations face security vulnerabilities due to device imperfections. Recent advances have separately addressed source and…

Quantum Physics · Physics 2025-07-08 Guillermo Currás-Lorenzo , Margarida Pereira , Shlok Nahar , Devashish Tupkary

The problem of security of quantum key protocols is examined. In addition to the distribution of classical keys, the problem of encrypting quantum data and the structure of the operators which perform quantum encryption is studied. It is…

Quantum Physics · Physics 2016-09-08 P. Oscar Boykin

Quantum cryptography exploits principles of quantum physics for the secure processing of information. A prominent example is secure communication, i.e., the task of transmitting confidential messages from one location to another. The…

Quantum Physics · Physics 2022-07-13 Christopher Portmann , Renato Renner

In theory, quantum key distribution (QKD) offers information-theoretic security. In practice, however, it does not due to the discrepancies between the assumptions used in the security proofs and the behaviour of the real apparatuses.…

Quantum Physics · Physics 2023-03-29 Margarida Pereira , Go Kato , Akihiro Mizutani , Marcos Curty , Kiyoshi Tamaki

Digital signatures are widely used for providing security of communications. At the same time, the security of currently deployed digital signature protocols is based on unproven computational assumptions. An efficient way to ensure an…

Quantum Physics · Physics 2022-01-19 E. O. Kiktenko , A. S. Zelenetsky , A. K. Fedorov